SinoXivUsual Stochastic and Hazar Rate Orderings of Fail-Safe Systems: A Multiple-Outlier Approach for Generalized Scaled Log-Logistic Model
Abstract
This study provides a comprehensive analysis of fail-safe systems incorporating multiplegeneralized scaled log-logistic outlier components. In this Regard, two structural frameworksare examined: one in which system components operate independently, and another in whichdependence is introduced through an Archimedean survival copula. To establish rigorouscomparisons, we explore ordering relations with respect to the usual stochastic order andthe hazard rate order. The investigation leverages the majorization property of generalizedscaled log-logistic parameters with multiple outliers, thereby offering deeper insight into thereliability and performance assessment of fail-safe structures under both independent anddependent settings. To complement these theoretical derivations, an extensive Monte Carlosimulation study is conducted to quantify the magnitude of the reliability improvement andrigorously validate the underlying data-generating process using a suite of modern diagnostictools. AMS 2000 Subject Classification: Primary 62N05; Secondary 62F10.
Keywords
Citation Information
@article{marziehshekari2026,
title={Usual Stochastic and Hazar Rate Orderings of Fail-Safe Systems: A Multiple-Outlier Approach for Generalized Scaled Log-Logistic Model},
author={Marzieh Shekari and Zohreh Pakdaman and Ghobad Saadat Kia Barmalzan and Narayanaswamy Balakrishnan},
journal={Journal of Inequalities and Applications},
year={2026},
doi={https://doi.org/10.21203/rs.3.rs-9398932/v1}
}
